Example
SEQ.E.3 : Suppose
$3* 2^{x-1} +1 = 13$. Find $x$. This example shows
an important connection between a
mapping diagram for an exponential function as a
composition
with core linear functions and the algebra used in solving an
exponential equation. The included GeoGebra mapping diagram can be used
to
visualize the algebra for solving equations of the form
$A* b^{x-h} +k = C$
You can use this next dynamic example to solve exponential equations like
those in Examples SEQ.E.1 and SEQ.E.2 visually with a mapping diagram of
$f$ and the lines in the graph of $f$.
Example
SEQ.L.3 : Suppose
$3* \log_2(x+1) +1 = 13$. Find $x$. This example shows
an important connection between a
mapping diagram for a logarithmic function as a
composition
with core linear functions and the algebra used in solving a
logarithmic equation. The included Geogebra mapping diagram can be used
visualize the algebra for solving equations of the form
$A* \log_b(x-h) +k = C$
You can use this next dynamic example to solve logarithmic equations like
those in Examples SEQ.I.1 and SEQ.L.2 visually with a mapping diagram of
$f$ and the lines in the graph of $f$.